This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully explained and compiled into an algorithm, each of which is presented independent of a specific programming language. Each chapter is rounded off with exercises.Kompetent, sinnvoll organisiert - und preisgünstig: Auf dieses Lehrbuch der numerischen Lösungsverfahren für gewöhnliche Differenzialgleichungen haben viele Studenten gewartet. Der erfahrene Autor erläutert auch verschiedene klassische und moderne Anwendungen.